## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 4 Cubes and Cube Roots Check Your Progress

Question 1.

Show that each of the following numbers is a perfect cube. Also, find the number whose cube is the given number:

(i) 74088

(ii) 15625

Solution:

Question 2.

Find the cube of the following numbers:

(i) -17

(ii) \(-3 \frac{4}{9}\)

Solution:

Question 3.

Find the cube root of each of the following numbers by prime factorisation:

(i) 59319

(ii) 21952

Solution:

Question 4.

Find the cube root of each of the following numbers:

(i) -9261

(ii) \(2 \frac{43}{343}\)

(iii) 0.216

Solution:

Question 5.

Find the smallest number by which 5184 should be multiplied so that product is a perfect cube. Also find the cube root of the product.

Solution:

Question 6.

Find the smallest number by which 8788 should be divided so that quotient is a perfect cube. Also, find the cube root of the quotient.

Solution:

Question 7.

Find the side of a cube whose volume is 4096 m^{3}.

Solution: